1305211505 has 24 divisors (see below), whose sum is σ = 1699576632. Its totient is φ = 961818624.

The previous prime is 1305211459. The next prime is 1305211513. The reversal of 1305211505 is 5051125031.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 707506801 + 597704704 = 26599^2 + 24448^2 .

It is not a de Polignac number, because 1305211505 - 2¹⁰ = 1305210481 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486227 + ... + 488903.

It is an arithmetic number, because the mean of its divisors is an integer number (70815693).

Almost surely, 2^1305211505 is an apocalyptic number.

It is an amenable number.

1305211505 is a deficient number, since it is larger than the sum of its proper divisors (394365127).

1305211505 is a wasteful number, since it uses less digits than its factorization.

1305211505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 1305211505 is about 36127.7110401420. The cubic root of 1305211505 is about 1092.8493486605.

Adding to 1305211505 its reverse (5051125031), we get a palindrome (6356336536).

The spelling of 1305211505 in words is "one billion, three hundred five million, two hundred eleven thousand, five hundred five".